The 49-year-old insists he received offers from some "big clubs" but says he was never close to leaving the Swans as he is keen to keep his promise to the Capital One Cup champions
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But the Dane insists he has "never been close" to leaving the Liberty Stadium, despite reported interest from the likes of Ligue 1 champions Paris Saint-Germain, and is fully committed to Swansea.
"I've never been close to leaving because I said I would stay this season; it's important to us," Laudrup told Sky Sports News.
"We still have to consolidate this team, this club and a promise is a promise - that's why I'm here.
"Yes, it's true, there were some approaches from big clubs as well, even from Champions League clubs, but I said I was going to stay here."
Laudrup has had a busy transfer window at Swansea this summer, signing seven new players - including striker Wilfried Bony for a club-record €14 million fee and midfielders Jonjo Shelvey and Jose Canas.